MODELING FRACTION DIVISION WORKSHEET

1) David has 3/4 cup of salsa for making burritos. Each burrito requires 1/8 cup of salsa. How many burritos can David make ?

2) Five people share 1/2 pound of cheese equally. How much cheese does each person receive?

3) One pizza can be made in 1/2 hour. How many pizzas can be made in 5/2 hours ?

4) David eats 1/4 of a pizza and divides the remaining in to two equal parts for his two kids. What is the part of the pizza will each kid receive ?

5) I can cover 3/4 mile in 1/2 hour by walk. Find the distance covered by in two hours.  

Detailed Answer Key

Answer (1) : 

To find the number of burritos that can be made, you need to determine how many 1/8 -cup servings are in 3/4 cup.

In the diagram given below, 3/4 of a whole is divided into quarters and into eighths.

In the whole cup, there are eight 1/8 cups.

But, David has 3/4 cup of salsa.

So, we have to count the number of 1/8 cups in 3/4 cup in the above diagram. 

And there are six 1/8 cups in 3/4 cup of salsa. 

Hence, David can make 6 burritos from 3/4 cup of salsa.

Answer (2) : 

To find how much cheese each person receives, you can divide 1/2 pound into 5 equal parts. Use the diagram to determine what fraction of a whole pound each person receives.

In the diagram given below, 1/2 of a whole is divided into halves and into tenths.

In one pound of cheese, there are ten 1/10s.

But, there is 1/2 pound of cheese.

So, we have to count the number of 1/10s in 1/2 pound of cheese.  

And there are five 1/10s in 1/2 pound of cheese. 

Hence, Each person will receive 1/10 pound of cheese. 

Answer (3) : 

Time taken to make one pizza  =  1/2 hour  

No. of pizzas made in 5/2 hours  =  5/2 ÷ 1/2

No. of pizzas made in 5/2 hours  =  5/2 ⋅ 2/1

No. of pizzas made in 5/2 hours  =  (5 ⋅ 2) / (2 ⋅ 1)

No. of pizzas made in 5/2 hours  =  (5 ⋅ 1) / (1 ⋅ 1)

No. of pizzas made in 5/2 hours  =  5 / 1

No. of pizzas made in 5/2 hours  =  5

Answer (4) : 

Part of the pizza eaten by David  =  1/4

Remaining pizza  =  3/4

Given : Remaining pizza is divided in to equal parts for his two kids. 

So, part of the pizza received by each kid is 

=  (3/4) ÷ 2

=  3/(4 ⋅ 2)

=  3/8

Hence, each kid will receive 3/8 part of the pizza.

Answer (5) : 

Given : 3/4 miles of distance covered in 1/2 hour.

We all know the formula for speed. That is 

Speed  =  Distance / Time

Here, Distance  =  3/4 miles and time  =  1/2 hour

Speed  =  (3/4) ÷ (1/2)

Speed  =  (3/4) ⋅ (2/1)

Speed  =  (3 ⋅ 2) / (4 ⋅ 1)

Speed  =  (3 ⋅ 1) / (2 ⋅ 1)

Speed  =  3/2

Therefore, speed is 3/2 miles per hour. 

That is, 3/2 miles of distance covered in one hour. 

Then the distance covered in two hours is 

=  (3/2) ⋅ 2

=  3 miles

Hence, I will cover 3 miles of distance in 2 hours. 

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